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103 LearnersLast updated on March 13th, 2025
37/64 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top) here, 37 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 64. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 37/64 as a decimal?
Answer
37/64 in decimals can be written as 0.578125. It is a terminating decimal, meaning it does not repeat.
Explanation
To convert 37/64 to decimal, we will use the division method. Here, as 37 is smaller than 64, we will perform long division to find the decimal representation. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (37) will be taken as the dividend, and the denominator (64) will be taken as the divisor.
Step 2: As 37 is smaller than 64, it can't be divided directly, so we will add a decimal point and 0 to the dividend, making it 370.
Step 3: Divide 370 by 64. Determine how many times 64 fits into 370.
Step 4: 64 fits into 370 five times (5 × 64 = 320). Subtract 320 from 370 to get 50.
Step 5: Bring down another 0 to get 500. Divide 500 by 64, which is 7 times (7 × 64 = 448). Subtract 448 from 500 to get 52.
Step 6: Bring down another 0 to get 520. Divide 520 by 64, which is 8 times (8 × 64 = 512). Subtract 512 from 520 to get 8.
Step 7: Bring down another 0 to get 80. Divide 80 by 64, which is 1 time (1 × 64 = 64). Subtract 64 from 80 to get 16.
Step 8: Bring down another 0 to get 160. Divide 160 by 64, which is 2 times (2 × 64 = 128). Subtract 128 from 160 to get 32.
Step 9: Bring down another 0 to get 320. Divide 320 by 64, which is 5 times (5 × 64 = 320). Subtract 320 from 320 to get 0.
The answer for 37/64 as a decimal is 0.578125.
Important Glossaries for 37/64 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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